I am the middle number of three consecutive numbers.

I am the middle number of three consecutive numbers. The product of the three numbers is 17550. What am I?
L_Curran
Asked Nov 21, 2013
Set up the equations you know:
Since there are three consecutive numbers, lets say x,y,z, then they are found by adding one to the previous number. And since their product is 17550, multiplying them together is 17550.
x+1=y
y+1=z
x*y*z = 17550

The middle number is y, so plug it all in and get one equation in terms of y only.
x=y-1
z=y+1
(y-1)(y)(y+1) = 17550
Then multiply it out and get your answer
dfouty
Answered Nov 21, 2013

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